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Finding the Fourth Proportional to 10,969.64, 16,454.91 and 9,133.70

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Solution

The fourth proportional to 10,969.64, 16,454.91 and 9,133.70 is: 13,700.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.64 : 16,454.91 = 9,133.70 : x
  2. Step 2: Convert to fraction form
    10,969.64/16,454.91 = 9,133.70/x
  3. Step 3: Cross multiply
    10,969.64x = 16,454.91 × 9,133.70
  4. Step 4: Simplify right side
    10,969.64x = 150,294,211.47
  5. Step 5: Solve for x
    x = 150,294,211.47/10,969.64
  6. Step 6: Final answer
    x = 13,700.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.